313304320131264 has 672 divisors, whose sum is σ = 1164438159206400. Its totient is φ = 78176057057280.

The previous prime is 313304320131239. The next prime is 313304320131293. The reversal of 313304320131264 is 462131023403313.

313304320131264 is a `hidden beast` number, since 3 + 1 + 3 + 30 + 432 + 0 + 131 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128432542 + ... + 130849250.

Almost surely, 2^{313304320131264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313304320131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582219079603200).

313304320131264 is an abundant number, since it is smaller than the sum of its proper divisors (851133839075136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313304320131264 is a wasteful number, since it uses less digits than its factorization.

313304320131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416861 (or 2416848 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 313304320131264 its reverse (462131023403313), we get a palindrome (775435343534577).

The spelling of 313304320131264 in words is "three hundred thirteen trillion, three hundred four billion, three hundred twenty million, one hundred thirty-one thousand, two hundred sixty-four".